Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: False
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2 N_1 \alpha \sigma \lambda N_{1B} \alpha_B \sigma_B g_{2B}
0.03929225337166122 0.4585030605651706 0.2047307296278494 0.39219414364312494 0.5466961452424751 0.03936952389514996 0.06685346557972836 0.35528288710185424 0.010173598239098757

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: N3LL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 203
\chi_{0}^2 = 1.07
\chi_{mean}^2 = 1.02
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.09 \pm 0.01
\langle E \rangle \pm \sigma_{E} = 2.09 \pm 0.16

Parameters

Parameter Central replica Average over replicas Fixed
g_2 0.037923106 0.03621274 \pm 0.00860477 False
N_1 0.51881393 0.62481322 \pm 0.28221709 False
\alpha 0.20314198 0.20644958 \pm 0.00983289 False
\sigma 0.37327219 0.37011055 \pm 0.06267228 False
\lambda 0.57973261 0.5797666 \pm 0.09166202 False
N_{1B} 0.039554376 0.0443336 \pm 0.0122624 False
\alpha_B 0.067696657 0.06890795 \pm 0.00895598 False
\sigma_B 0.36307837 0.35625572 \pm 0.07538985 False
g_{2B} 0.011221607 0.01156522 \pm 0.00302411 False
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
Global error function distribution
g_2 distribution
N_1 distribution
\alpha distribution
\sigma distribution
\lambda distribution
N_{1B} distribution
\alpha_B distribution
\sigma_B distribution
g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.67 0.01 0.68
E605_Q_8_9 8 1.52 0.0 1.52
E605_Q_10.5_11.5 10 0.34 0.17 0.51
E605_Q_11.5_13.5 12 0.8 0.49 1.29
E605_Q_13.5_18 13 1.41 0.61 2.02
E288_200_Q_4_5 4 0.52 0.84 1.37
E288_200_Q_5_6 5 1.36 0.27 1.63
E288_200_Q_6_7 6 0.26 0.13 0.39
E288_200_Q_7_8 7 0.4 0.0 0.41
E288_200_Q_8_9 8 0.55 0.04 0.59
E288_300_Q_4_5 4 0.47 0.56 1.03
E288_300_Q_5_6 5 0.76 0.16 0.91
E288_300_Q_6_7 6 0.41 0.03 0.45
E288_300_Q_7_8 7 0.09 0.01 0.1
E288_300_Q_8_9 8 0.55 0.0 0.56
E288_300_Q_11_12 9 0.36 0.25 0.61
E288_400_Q_5_6 5 0.27 0.01 0.28
E288_400_Q_6_7 6 0.08 0.0 0.08
E288_400_Q_7_8 7 0.02 0.02 0.04
E288_400_Q_8_9 8 0.41 0.05 0.46
E288_400_Q_11_12 11 0.51 0.05 0.56
E288_400_Q_12_13 12 0.49 0.05 0.54
E288_400_Q_13_14 12 0.59 0.09 0.68
STAR_510 7 0.89 0.03 0.92
CDF_RunI 25 0.53 0.06 0.59
CDF_RunII 26 0.87 0.0 0.88
D0_RunI 12 0.63 0.05 0.67
D0_RunII 5 1.13 0.61 1.74
D0_RunIImu 3 3.28 0.03 3.31
LHCb_7TeV 7 1.13 0.16 1.28
LHCb_8TeV 7 0.54 0.08 0.62
LHCb_13TeV 7 0.79 0.02 0.81
CMS_7TeV 4 2.13 0 2.13
CMS_8TeV 4 1.43 0.01 1.43
ATLAS_7TeV_y_0_1 6 2.65 0.03 2.68
ATLAS_7TeV_y_1_2 6 4.2 1.03 5.24
ATLAS_7TeV_y_2_2.4 6 3.51 0.38 3.9
ATLAS_8TeV_y_0_0.4 6 2.0 0.35 2.36
ATLAS_8TeV_y_0.4_0.8 6 2.2 0.27 2.47
ATLAS_8TeV_y_0.8_1.2 6 0.89 0.06 0.96
ATLAS_8TeV_y_1.2_1.6 6 0.91 0.1 1.02
ATLAS_8TeV_y_1.6_2 6 0.61 0.08 0.69
ATLAS_8TeV_y_2_2.4 6 0.72 0.3 1.02
ATLAS_8TeV_Q_46_66 4 2.3 0.7 3.0
ATLAS_8TeV_Q_116_150 8 0.5 0.0 0.5
Total 353 - - 1.07
Mean-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 0.42 0.07 0.49
E605_Q_8_9 8 0.99 0.03 1.03
E605_Q_10.5_11.5 10 0.19 0.14 0.33
E605_Q_11.5_13.5 12 0.49 0.28 0.77
E605_Q_13.5_18 13 0.49 0.39 0.88
E288_200_Q_4_5 4 0.21 0.65 0.86
E288_200_Q_5_6 5 0.67 0.29 0.96
E288_200_Q_6_7 6 0.13 0.14 0.27
E288_200_Q_7_8 7 0.25 0.01 0.27
E288_200_Q_8_9 8 0.65 0.02 0.68
E288_300_Q_4_5 4 0.23 0.55 0.79
E288_300_Q_5_6 5 0.5 0.2 0.71
E288_300_Q_6_7 6 0.32 0.06 0.38
E288_300_Q_7_8 7 0.06 0.03 0.09
E288_300_Q_8_9 8 0.53 0.02 0.55
E288_300_Q_11_12 9 1.05 0.17 1.21
E288_400_Q_5_6 5 0.31 0.07 0.38
E288_400_Q_6_7 6 0.1 0.0 0.1
E288_400_Q_7_8 7 0.02 0.01 0.03
E288_400_Q_8_9 8 0.44 0.04 0.48
E288_400_Q_11_12 11 0.64 0.04 0.67
E288_400_Q_12_13 12 0.79 0.03 0.82
E288_400_Q_13_14 12 1.06 0.04 1.11
STAR_510 7 0.78 0.05 0.84
CDF_RunI 25 0.48 0.06 0.54
CDF_RunII 26 0.96 0.0 0.96
D0_RunI 12 0.71 0.04 0.75
D0_RunII 5 1.33 0.61 1.94
D0_RunIImu 3 3.2 0.02 3.22
LHCb_7TeV 7 1.07 0.19 1.26
LHCb_8TeV 7 0.46 0.07 0.53
LHCb_13TeV 7 0.74 0.02 0.75
CMS_7TeV 4 2.13 0 2.13
CMS_8TeV 4 1.41 0.01 1.41
ATLAS_7TeV_y_0_1 6 2.58 0.03 2.61
ATLAS_7TeV_y_1_2 6 4.33 1.03 5.36
ATLAS_7TeV_y_2_2.4 6 3.56 0.38 3.94
ATLAS_8TeV_y_0_0.4 6 1.92 0.34 2.26
ATLAS_8TeV_y_0.4_0.8 6 2.34 0.25 2.59
ATLAS_8TeV_y_0.8_1.2 6 0.92 0.06 0.98
ATLAS_8TeV_y_1.2_1.6 6 0.91 0.09 1.01
ATLAS_8TeV_y_1.6_2 6 0.72 0.09 0.81
ATLAS_8TeV_y_2_2.4 6 0.93 0.35 1.28
ATLAS_8TeV_Q_46_66 4 2.14 0.74 2.88
ATLAS_8TeV_Q_116_150 8 0.5 0.0 0.5
Total 353 - - 1.02
Average-over-replicas \chi^2’s:
Experiment Number of points \chi^2
E605_Q_7_8 7 0.69 \pm 0.11
E605_Q_8_9 8 1.54 \pm 0.22
E605_Q_10.5_11.5 10 0.55 \pm 0.07
E605_Q_11.5_13.5 12 1.39 \pm 0.11
E605_Q_13.5_18 13 2.04 \pm 0.11
E288_200_Q_4_5 4 1.43 \pm 0.29
E288_200_Q_5_6 5 1.67 \pm 0.2
E288_200_Q_6_7 6 0.42 \pm 0.08
E288_200_Q_7_8 7 0.43 \pm 0.14
E288_200_Q_8_9 8 0.6 \pm 0.07
E288_300_Q_4_5 4 1.09 \pm 0.27
E288_300_Q_5_6 5 0.94 \pm 0.14
E288_300_Q_6_7 6 0.46 \pm 0.13
E288_300_Q_7_8 7 0.12 \pm 0.04
E288_300_Q_8_9 8 0.58 \pm 0.1
E288_300_Q_11_12 9 0.61 \pm 0.03
E288_400_Q_5_6 5 0.32 \pm 0.08
E288_400_Q_6_7 6 0.11 \pm 0.03
E288_400_Q_7_8 7 0.08 \pm 0.05
E288_400_Q_8_9 8 0.5 \pm 0.08
E288_400_Q_11_12 11 0.6 \pm 0.14
E288_400_Q_12_13 12 0.57 \pm 0.04
E288_400_Q_13_14 12 0.7 \pm 0.05
STAR_510 7 0.93 \pm 0.05
CDF_RunI 25 0.59 \pm 0.02
CDF_RunII 26 0.9 \pm 0.07
D0_RunI 12 0.67 \pm 0.03
D0_RunII 5 1.7 \pm 0.22
D0_RunIImu 3 3.21 \pm 0.44
LHCb_7TeV 7 1.28 \pm 0.04
LHCb_8TeV 7 0.67 \pm 0.13
LHCb_13TeV 7 0.85 \pm 0.07
CMS_7TeV 4 2.13 \pm 0.01
CMS_8TeV 4 1.43 \pm 0.05
ATLAS_7TeV_y_0_1 6 2.71 \pm 0.24
ATLAS_7TeV_y_1_2 6 5.29 \pm 0.09
ATLAS_7TeV_y_2_2.4 6 3.92 \pm 0.11
ATLAS_8TeV_y_0_0.4 6 2.36 \pm 0.13
ATLAS_8TeV_y_0.4_0.8 6 2.5 \pm 0.09
ATLAS_8TeV_y_0.8_1.2 6 0.99 \pm 0.08
ATLAS_8TeV_y_1.2_1.6 6 1.04 \pm 0.15
ATLAS_8TeV_y_1.6_2 6 0.8 \pm 0.24
ATLAS_8TeV_y_2_2.4 6 1.05 \pm 0.22
ATLAS_8TeV_Q_46_66 4 2.99 \pm 0.12
ATLAS_8TeV_Q_116_150 8 0.5 \pm 0.01
Total 353 1.09 \pm 0.01

TMDs in k_T space

TMD PDF of the d at Q = 2 GeV and x = 0.001
TMD PDF of the d at Q = 2 GeV and x = 0.01
TMD PDF of the d at Q = 2 GeV and x = 0.1
TMD PDF of the d at Q = 2 GeV and x = 0.5
TMD PDF of the d at Q = 2 GeV and x = 0.9

Data-theory comparison

E605_Q_7_8 data-theory comparison
E605_Q_8_9 data-theory comparison
E605_Q_10.5_11.5 data-theory comparison
E605_Q_11.5_13.5 data-theory comparison
E605_Q_13.5_18 data-theory comparison
E288_200_Q_4_5 data-theory comparison
E288_200_Q_5_6 data-theory comparison
E288_200_Q_6_7 data-theory comparison
E288_200_Q_7_8 data-theory comparison
E288_200_Q_8_9 data-theory comparison
E288_300_Q_4_5 data-theory comparison
E288_300_Q_5_6 data-theory comparison
E288_300_Q_6_7 data-theory comparison
E288_300_Q_7_8 data-theory comparison
E288_300_Q_8_9 data-theory comparison
E288_300_Q_11_12 data-theory comparison
E288_400_Q_5_6 data-theory comparison
E288_400_Q_6_7 data-theory comparison
E288_400_Q_7_8 data-theory comparison
E288_400_Q_8_9 data-theory comparison
E288_400_Q_11_12 data-theory comparison
E288_400_Q_12_13 data-theory comparison
E288_400_Q_13_14 data-theory comparison
STAR_510 data-theory comparison
CDF_RunI data-theory comparison
CDF_RunII data-theory comparison
D0_RunI data-theory comparison
D0_RunII data-theory comparison
D0_RunIImu data-theory comparison
LHCb_7TeV data-theory comparison
LHCb_8TeV data-theory comparison
LHCb_13TeV data-theory comparison
CMS_7TeV data-theory comparison
CMS_8TeV data-theory comparison
ATLAS_7TeV_y_0_1 data-theory comparison
ATLAS_7TeV_y_1_2 data-theory comparison
ATLAS_7TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_y_0_0.4 data-theory comparison
ATLAS_8TeV_y_0.4_0.8 data-theory comparison
ATLAS_8TeV_y_0.8_1.2 data-theory comparison
ATLAS_8TeV_y_1.2_1.6 data-theory comparison
ATLAS_8TeV_y_1.6_2 data-theory comparison
ATLAS_8TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_Q_46_66 data-theory comparison
ATLAS_8TeV_Q_116_150 data-theory comparison